198480400 has 60 divisors (see below), whose sum is σ = 478870144. Its totient is φ = 79056000.

The previous prime is 198480377. The next prime is 198480421. The reversal of 198480400 is 4084891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107485 + ... + 109315.

Almost surely, 2^198480400 is an apocalyptic number.

198480400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239435072).

198480400 is an abundant number, since it is smaller than the sum of its proper divisors (280389744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198480400 is a wasteful number, since it uses less digits than its factorization.

198480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 198480400 is about 14088.3072084619. The cubic root of 198480400 is about 583.3186681120.

The spelling of 198480400 in words is "one hundred ninety-eight million, four hundred eighty thousand, four hundred".